Brief paperStable inversion for nonlinear systems☆
References (16)
- et al.
Applications of nonlinear transformations to automatic flight control
Automatica
(1984) An iterative solution to stable inversion of nonminimum phase systems
- et al.
Exact output tracking for nonlinear time varying systems
- et al.
Nonlinear inversion-based output tracking
IEEE Trans. Autom. Control
(1996) The linear multivariable regulator problem
SIAM J. Control Optim.
(1977)- et al.
Design for multi-input nonlinear systems
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Finite-time formation control of nonaffine nonlinear systems under directed communication interactions
2023, Journal of the Franklin InstituteAdaptive neural control for uncertain constrained pure feedback systems with severe sensor faults: A complexity reduced approach
2023, AutomaticaCitation Excerpt :During the past decades, the tracking control problem for uncertain pure feedback systems has attracted tons of attentions owing to its theoretical challenges (see Huang et al. (2020), Wang and Huang (2002) and Zhang and Ge (2008) and the references therein), which mainly arise from the fact that all the inputs/states therein appear in the nonlinear functions implicitly, making an explicit inverting control design impossible. Meanwhile, there are many practical systems, e.g., aircraft flight control system (Huang et al., 2020), mechanical systems (Ferrara & Giacomini, 2000) and biochemical systems (Hunt & Meyer, 1997), that fit into such kind of system, making this problem also of practical necessaries. There are various approaches/techniques presented in the literature to tackle the tracking problem for pure feedback systems, wherein the mainstream approaches on dealing with the nonaffine functions include dynamical inversion method (Lee et al., 2016), mean value theorem (Song et al., 2015), Taylor series expansion (Leu et al., 2005) and contraction mapping method (Park et al., 2005).
Enhancement of nonlinear signal-based control to estimate earthquake excitations from absolute acceleration responses of nonlinear structures
2022, Mechanical Systems and Signal ProcessingCitation Excerpt :To enhance the feedforward controller, a model that considers nonlinear characteristics is an option for generating the feedforward control input if the model is invertible and stable. However, inversions of nonlinear models are much more complicated than those of linear systems [8], and causality also becomes a matter of issue [9,10]. Thus, inversions of nonlinear models are commonly computed to obtain a feedforward input offline, where non-causal computational methods requiring iterations or complicated algorithms are also available [11–13].
Tracking with prescribed performance for linear non-minimum phase systems
2020, AutomaticaCitation Excerpt :Therefore, the open-loop control input is non-causal in this case. Extensions of this approach are discussed in Devasia (1999), Devasia and Paden (1998), Hunt and Meyer (1997) and Taylor and Li (2002) for instance. Noteworthy is also the approach presented by Isidori (2000), where stabilization of non-minimum phase systems by dynamic compensators is considered.
Docking control for probe-drogue refueling: An additive-state-decomposition-based output feedback iterative learning control method
2020, Chinese Journal of Aeronautics
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This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Alberto Isidori under the direction of Editor Tamer Başar.